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Invariants of quartic plane curves as automorphic forms

Eduard Looijenga
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Abstract

We identify the algebra of regular functions on the space of quartic polynomials in three complex variables invariant under SL(3,C) with an algebra of meromorphic automorphic forms on the complex 6-ball. We also discuss the underlying geometry.

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Eduard Looijenga. 2005-05-25. Invariants of quartic plane curves as automorphic forms. https://arxiv.org/abs/math/0505532

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